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34066396 = 22713313019
BaseRepresentation
bin1000000111110…
…0111111011100
32101002202022101
42001330333130
532210111041
63214054444
7562362640
oct201747734
971082271
1034066396
1118258651
12b4aa424
137099b40
14474ac20
152ecdb31
hex207cfdc

34066396 has 48 divisors (see below), whose sum is σ = 75765760. Its totient is φ = 13037760.

The previous prime is 34066393. The next prime is 34066397. The reversal of 34066396 is 69366043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34066393) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9775 + ... + 12793.

Almost surely, 234066396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34066396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37882880).

34066396 is an abundant number, since it is smaller than the sum of its proper divisors (41699364).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34066396 is a wasteful number, since it uses less digits than its factorization.

34066396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3074 (or 3072 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 37.

The square root of 34066396 is about 5836.6425280293. The cubic root of 34066396 is about 324.1719226779.

The spelling of 34066396 in words is "thirty-four million, sixty-six thousand, three hundred ninety-six".

Divisors: 1 2 4 7 13 14 26 28 31 52 62 91 124 182 217 364 403 434 806 868 1612 2821 3019 5642 6038 11284 12076 21133 39247 42266 78494 84532 93589 156988 187178 274729 374356 549458 655123 1098916 1216657 1310246 2433314 2620492 4866628 8516599 17033198 34066396